@Negima
entire floor means you have to be part of beating the stuff there, I'm assuming you have to be there before the first mob dies.
getting credit for clearing a tier so you don't have to pay the crowns to get to emberlight or the mansion works similarly
Shops
* You will not be able to purchase 2+ star items from a terminal vendor if you have not completed an entire floor before reaching the terminal. Never buy a 'Basil port' from another player unless you're in the market for 1* items!
1 floor before D13 basil...that's d12. I said again I don't know how much of a floor counts as an entire floor, it doesn't seem to me that the game would go like "hey, they hopped in on the second stage of the arena, and fought entirely through the third stage of the arena, but they shouldn't get to see Basil because they didn't come down from D11!" And even if that was the case, once more, it doesn't stop D11 selling, it'd just have to be much cheaper or limited to friends only (since friends won't care).
EDIT:
Someone else thinks so too
http://forums.spiralknights.com/en/node/8571
EDIT2:
And I have run a run one time before this update with a guildmate, we split in a graveyard to see what Basil had to offer, we had the exact same Basil despite split parties. So unless it gets randomized, there's no point to this except adding a small extra layer of hassle. And even randomizing it can be bad since that's free re-rolling of Basil stock.